Answer:
first option is correct
Step-by-step explanation:
hope this helps
On April 11, 2012, two earthquakes were measured off the northwest coast of Sumatra. The first had a magnitude of
8.6. The second had a magnitude of 8.2. By what approximate factor was the intensity of the first earthquake greater
than the intensity of the second earthquake?
M-log
M = the magnitude of an earthquake
/= the intensity of an earthquake
lo=
= the smallest seismic activity that can be measured, which is 1
Answer:
Step-by-step explanation:
The relationship between magnitude (M) and intensity (I) of an earthquake is given by:
I ~ 10^(1.5M + 4.8)
We can use this relationship to compare the intensities of the two earthquakes:
I1/I2 = (10^(1.5M1 + 4.8))/(10^(1.5M2 + 4.8))
= 10^(1.5(M1 - M2))
Substituting the given magnitudes, we get:
I1/I2 = 10^(1.5(8.6 - 8.2))
= 10^(1.5(0.4))
≈ 2.24
Therefore, the intensity of the first earthquake was approximately 2.24 times greater than the intensity of the second earthquake.
y= 4x + 2
where the domain is the set of all of
the positive even numbers
less than 10.
The range of the function y = 4x + 2 where the domain is the set of all of
the positive even numbers less than 10 is {10, 18, 26, 34}
The given equation is:
y = 4x + 2
The domain is the set of all of the positive even numbers less than 10.
That is, x = {2, 4, 6 ,8}
To get the range, find the values of y for x = 2, 4, 6, and 8
For x = 2:
y = 4(2) + 2
y = 8 + 2
y = 10
For x = 4:
y = 4(4) + 2
y = 16 + 2
y = 18
For x = 6:
y = 4(6) + 2
y = 24 + 2
y = 26
For x = 8:
y = 4(8) + 2
y = 32 + 2
y = 34
Therefore, the range = {10, 18, 26, 34}
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Ella made a checker board. Each individual square has a side with a length of x + 3. Find the area of the ENTIRE board in terms of x if each side of the board is made up of 6 congruent squares.
Answer:
Total area of board = 36x² + 324 + 216x
Step-by-step explanation:
Given:
Side of square = x + 3
Total number of square = 6 x 6 = 36
Area of each square = Side x Side
Area of each square = (x + 3)²
Area of each square = x² + 9 + 6x
Total area of board = 36[Area of each square]
Total area of board = 36[x² + 9 + 6x]
Total area of board = 36x² + 324 + 216x
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
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he profit on the sale of a bicycle at a bike shop is $35, while the profit on the sale of a tricycle is $21. The owner is interested in making more than $210 in profit per day, and expects to sell at most 8 items per day. However, the owner discovered he was making less than $210 in profit per day. The system that represents this situation is b + t ≤ 8 and 35b + 21t < 210. The graph of the boundary lines is shown below. Which region should be shaded (to form the solution)?
The systems of inequalities given is,
\(\begin{gathered} b+t\leq8\ldots\ldots\ldots.1 \\ 35b+21t<210\ldots\ldots.2 \end{gathered}\)Since he can't sell more than 8 items per day, then from the graph given the best region that should be shaded is region 4.
HELP ME I WILL BRAINLIST YOU
Answer:
A
Step-by-step explanation:
Because Im doing test corrections now :(
The temperature increase 12 Fahrenheit between 9 AM and noon decreased 9 Fahrenheit between noon and 6 PM
Complete question :
The temperature increased 12 degrees between 9 am and noon. it decreased 9 degrees between noon and 6 pm. write an expression with three terms to show the change in temperature. let the first term represent the temperature at 9am.
Answer:
(t + 12 - 9)°F
Step-by-step explanation:
Let the temperature at 9:00 am = t
Temperature increase between 9:00 am and noon = 12 degrees
Temperature at noon = t + 12
Temperature decreased between noon and 6:00 pm
Temperature at 6:00 pm :
(t + 12) - 9
Hence final temperature at 6:00 pm :
(t + 12 - 9)
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
Let U = {1, 2, …, 10} be the universal set, and let • A = {1, 2, 4, 6, 8} • B = {2, 3, 5, 8} • C = {3, 6, 9}
Find: a) A ∩ B b) A ∪ B c) A ∩ C d) A ∪ C e) AC f) BC
Show Work
Let U = {1, 2, …, 10} be the universal set, and let • A = {1, 2, 4, 6, 8} • B = {2, 3, 5, 8} • C = {3, 6, 9}. To find:
a) A ∩ B is the intersection of sets A and B. It is the set of elements that are common to both sets. Here A ∩ B = {2, 8}.
b) A ∪ B is the union of sets A and B. It is the set of elements that are in either set. Here A ∪ B = {1, 2, 3, 4, 5, 6, 8}.
c) A ∩ C is the intersection of sets A and C. It is the set of elements that are common to both sets. Here A ∩ C = {6}.
d) A ∪ C is the union of sets A and C. It is the set of elements that are in either set. Here A ∪ C = {1, 2, 4, 6, 8, 9}.
e) AC is the complement of set A in U. It is the set of elements in U that are not in A. Here AC = {3, 5, 7, 9, 10}.
f) BC is the complement of set B in U. It is the set of elements in U that are not in B. Here BC = {1, 4, 6, 7, 9, 10}.
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A bag had an original price of $110. In the sale it is reduced to $82.50.
What percentage discount was given on the bag?
a 75%
b 25%
c 33%
d 27.5%
Answer:
25 %
Step-by-step explanation:
110-82.50=27.5
27.5/110= .25
.25=25%
Answer:
b 25%
Step-by-step explanation:
Original price: $110
Sale price: $82.50
Amount of reduction: $110 - $82.50 = $27.50
percent = part/whole × 100%
percent = $27.50/$110 × 100% = 25%
Answer: 25%
The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?
Answer:
122°F
Step-by-step explanation:
F=(50×9/5)+32
= 122°F
HELPPPP PLEAASE IM STUCK DUE IN 15 MINUTES
Answer:
x=15
Step-by-step explanation:
Ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym the distance from ping's home to ari's home. where is the gym?
The distance between ping's home to aris's home will be 1 street and 12th avenue.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Ping house ⇒ 3rd street and 6th avenue
Ari's home ⇒ 21st street and 18th avenue
So, the distance between them
21 - 3 = 18 street
18 - 6 = 12 avenue.
Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".
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Approximate the value of f'(5.245) if f(x) = In(3x) + sin(5x- 4)-3 Using Forward Differencing. h = 0.025 -4.58872425 -4.534479401 O-4.73245564 5 pts -4.660589945 Question 10 Approximate the value of f"(2.156) if f(x) = 2tan(x) + cos(2x). h = 0.003 O-18.22610955 8.396938164 O8.424277328 O-18.51527191 5 pt
Answer:
9. (a) -4.58872425
10. (a) -18.22610955
Step-by-step explanation:
You want the approximate value of f'(5.245) if f(x) = ln(3x) +sin(5x -4) -3 and the approximate value of f''(2.156) if f(x) = 2tan(x) +cos(2x) using h = 0.025 and 0.003, respectively.
9. f'(5.245)The approximate value of f'(x) is the difference quotient ...
f'(x) ≈ (f(x+h) -f(x))/h
For x=5.245 and h=0.025, this is ...
f'(x) ≈ ((f(5.245 +0.025) -f(5.245))/0.025
The calculator screen in the first attachment shows the value of this is about ...
f'(5.245) ≈ -4.58872425
10. f''(2.156)For the second derivative, we use ...
f'(x) ≈ ((f(x +h) -f(x))/h
f''(x) = (f'(x -h) -f'(x))/h
The calculator screen in the second attachment shows the calculations and the final value of f''(2.156) as ...
f''(2.156) ≈ -18.22610955
__
Additional comment
Note that the calculator must be set to radians mode.
<95141404393>
Helpppppppppppppppppp
Answer:
43°
Step-by-step explanation:
1. You need to create an equation: 3c+64+5c+82=90°
(Why 90°?)- this is a right triangle as you can see the little square
2. Then combine like terms
8c+146=90°
3. Subtract 146 from both sides
4. 8c=-56
5. Then divide 8 from both sides
C= -7
6. Then plug in -7 in 3c+64 and solve!
7. The final answer is 43
a right triangle has side lengths of 12 feet and 5 feet. what is the length, in feet, of the hypotenuse?
Question 26 2 pts A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief. Which of the following is the correct test statistic for the hypothesis test? 0.4137 0 -0.2617 O-0.4137 0.2617
The correct test statistic for this hypothesis test is 3.21 or 0.2617
To determine the appropriate test statistic for this hypothesis test, we need to first state the null and alternative hypotheses.
In this case, the null hypothesis is that the population mean height of adult women is equal to 63 inches, while the alternative hypothesis is that the population mean height is greater than 63 inches.
Next, we can use the formula for a t-test to calculate the test statistic:
t = (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size))
Plugging in the given values, we get:
t = (64.2 - 63)/(2.9√40) = 3.21 or 0.2617
Therefore, the correct test statistic for this hypothesis test is 3.21. or 0.2617
To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom (since we have a sample size of 40 and are estimating one parameter, the population mean). If the test statistic is greater than the critical value, we can reject the null hypothesis and conclude that the population mean height of adult women is greater than 63 inches at a given level of significance.
In summary, the correct test statistic for this hypothesis test is 3.21. To determine whether this test statistic is statistically significant, we would need to compare it to a critical value from the t-distribution with 39 degrees of freedom.
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6x – 3y = -33
- 6x + 5y = 31
Answer:
check online for more information
A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches longer than the shorter how long should each piece be
Answer:
19 in and 26 inStep-by-step explanation:
Let the length of the shorter piece be x
Then the longer piece is x + 7
x + x + 7 = 452x = 45 - 72x = 38x = 19Short piece = 19 in
Long piece = 26 in
how many bit strings of length 256 have exactly 150 0's while also having no double 1's in the sequence? explain your answer
There are 46 bit strings of
length
256 that have exactly 150 0's and no double 1's in the sequence.
To solve this problem, we can first choose the positions of the 150 0's in the string. This can be done in $\binom{256}{150}$ ways.
Next, we need to place the 106 remaining bits (256 - 150 = 106) in such a way that there are no consecutive 1's. We can approach this problem recursively. Let $f(n)$ be the number of valid bit strings of length $n$. If the last bit is a 0, then there are $f(n-1)$ ways to arrange the remaining bits. If the last bit is a 1, then the second to last bit must be a 0, so there are $f(n-2)$ ways to arrange the remaining bits. Therefore, we have the recurrence relation $f(n) = f(n-1) + f(n-2)$ with
initial conditions
$f(1) = 2$ and $f(2) = 3$ (since we cannot have two consecutive 1's).
Using this recurrence relation, we can calculate $f(106)$, the number of valid bit strings of length 106, which turns out to be 5736968450.
Therefore, the total number of bit strings of length 256 with exactly 150 0's and no consecutive 1's is $\binom{256}{150} \cdot f(106) \approx 1.836 \times 10^{60}$.
Note: The reason we can approach this problem recursively is because the validity of a bit string of length $n$ only depends on the last two bits of the string. Therefore, we can break down the problem into smaller subproblems and use the previous solutions to build up to the solution for the original problem.
The number of bit strings of length 256 that have exactly 150 0's and no double 1's in the sequence can be determined using combinatorics.
First, consider that there will be 150 0's and 106 1's in the
sequence
. As we don't want any consecutive 1's, we can place each 1 between the 0's. Since there are 150 0's, there are 151 possible spaces for the 1's (including before the first 0 and after the last 0). Now, we need to place 106 1's in these 151 spaces without having any consecutive 1's.
We can treat this as a problem of
distributing
106 1's into 151 "bins" (spaces between 0's). To avoid having consecutive 1's, we can place at most 1 bit in each bin. To achieve this, we can first place 105 1's into 105 of the 151 bins. Now, we have 1 bit left to place and 46 bins remaining (151 - 105 = 46).
This problem now becomes a matter of selecting which of the 46 remaining bins the last 1 should be placed in. This can be done in 46 different ways, as there are 46 possible bins to choose from. Therefore, there are 46 bit strings of length 256 that have exactly 150 0's and no double 1's in the sequence.
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you draw your sample to make sure measure of interest is neither overestimated nor underestimated. you are concerned by which factor influencing sample size?
The factors influencing sample size include the desired level of confidence, the higher desired level of confidence, the variability of the population, the size of the effect being measured, and the level of precision desired.
The desired level of confidence determines the sample size needed to achieve the desired level of confidence. The higher the desired level of confidence, the larger the sample size needs to be. The variability of the population is also a factor that influences sample size.
If the population is highly variable, a larger sample size is needed to achieve the desired level of confidence. the size of the effect being measured also affects sample size.if the effect is small, a larger sample size is needed to measure it accurately. Finally, the level of precision desired also affects the sample size.
The higher the level of precision desired, the larger the sample size needs to be. When drawing a sample to make sure the measure of interest is neither overestimated nor underestimated, all of the mentioned factors need to be taken into consideration. The sample size should be large enough to accurately measure the effect, given the desired level of confidence and the level of precision desired.
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Please help if you can please
Answer:
30.3° is the answer mi amigo
Step-by-step explanation:
si señor
Can someone please s were these TWO questions!? GIVING BRAINLIEST!!!
\(5\frac{2}{9} +1\frac{4}{6}\)
\(5\frac{4}{18}+1\frac{12}{18}\) \(=6\frac{16}{18}\)\(=6\frac{48}{54}\)
1. answer = \(6\frac{48}{54}\)
\(2\frac{5}{8} +4\frac{2}{3} =2\frac{15}{24} +4\frac{14}{24} =7\frac{5}{24}\)
2. answer = \(7\frac{7}{24}\)
i got 7 5/24, but you can go ahead and pick 7 7/24 since that's not one of the choices!
A
B
112°
D
C
m
Enter the number that belongs in the green box.
Enter
The number that belongs in the green box is 34.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle
Angle A and C are congruent so if you wanted to set up an equation, that would be 2x + 112 = 180
subtract 32 from both sides
2x = 180-112
2x=68
Divide both sides by 2
x=34
You can check by adding 34 + 34 + 112 = 180
So angle C is 34
Hence, the number that belongs in the green box is 34.
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The larger of two numbers is eight more than the smaller. If the sum of the two numbers is 32, what are the two numbers
The two numbers are 12 and 20
How to determine the numbers
Let the small number be x
Let the large number be y
We have that;
y = 8 + x (1)
But;
x + y = 32 (2)
Now, substitute the value of y as 8 + x in equation (2)
x + 8 + x = 32
collect like terms
2x + 8 = 32
2x = 32 - 8
2x = 24
Make 'x' the subject
x = 24/ 2
x = 12
But;
y = 8 + x
y = 8 + 12
y = 20
Thus, the two numbers are 12 and 20
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Which system of equations has no soulutions
Janice has room for 6 books on a shelf.
How many different ways can she arrange the books on the shelf?
Enter your answer in the box.
Answer:
For the book standing on the left you have a choice out of all
6
, for the next one you choose from the
5
left, and so on.
Explanation:
So the total number of arrangements you have:
6
×
5
×
4
×
3
×
2
×
1
=
720
Usually this is written as
6
!
, pronounced "6 factorial"
(factorial meaning the product of all whole numbers from
1
up to and including the one before the
!
)
Step-by-step explanation:
CORRECT ME IF IM WRONG
PLSS HELP I WILL GIVE BRAINLIEST PLSSS
In ratio form how much would one cupcake cost if 8 cupcakes cost 12 dollars
Answer:
8:12 or 8 to 12
Step-by-step explanation:
You have to know that a ratio is a fraction so you say 8 over 12
Find the mode
2, 0, 1, 2, 9, 12, 14
(In order: 0, 1, 2, 2, 9, 12, 14)
Answer:
the mode is 2 In order 0,1,2,3,9,12,14
Step-by-step explanation:
The reason is the mode equals the middle and 2 is there twice and the 2 is in the middle